Effects of different imaging models on least-squares image reconstruction accuracy in photoacoustic tomography

IEEE Transactions on Medical Imaging

Volumn 28, Issue 11, 2009, Pages 1781-1790

  Zhang, Jin ^a   Anastasio, Mark A ^b   La Rivière, Patrick J ^c   Wang, Lihong V ^d  

^a UNIVERSITY OF MARYLAND SCHOOL OF MEDICINE   (United States)

^b Illinois Institute of Technology   (United States)

^c UNIVERSITY OF CHICAGO   (United States)

^d WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Iterative image reconstruction; Optoacoustic tomography; Photoacoustic tomography; Thermoacoustic tomography.

Indexed keywords

DC OFFSETS; IMAGING MODEL; INTEGRATED DATA; ITERATIVE ALGORITHM; ITERATIVE IMAGE RECONSTRUCTION; ITERATIVE RECONSTRUCTION; LEAST SQUARE; LEAST-SQUARES RECONSTRUCTION; OPTOACOUSTIC TOMOGRAPHY; PHOTOACOUSTIC TOMOGRAPHY; PRESSURE DATA; RECONSTRUCTION ALGORITHMS; STATISTICAL CORRELATION; STATISTICAL DISTRIBUTION; STATISTICAL PROPERTIES; THERMOACOUSTIC TOMOGRAPHY.; WAVEFIELDS;

ALGORITHMS; ERRORS; INTEGRATION; ITERATIVE METHODS; PHOTOACOUSTIC EFFECT; REPAIR; TOMOGRAPHY;

IMAGE RECONSTRUCTION;

ACOUSTICS; ALGORITHM; ARTICLE; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; OPTICS; REGRESSION ANALYSIS; THEORETICAL MODEL; TOMOGRAPHY;

ACOUSTICS; ALGORITHMS; IMAGE PROCESSING, COMPUTER-ASSISTED; LEAST-SQUARES ANALYSIS; MODELS, THEORETICAL; OPTICS AND PHOTONICS; PHANTOMS, IMAGING; TOMOGRAPHY;

EID: 70350770986     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2009.2024082     Document Type: Article

References (36)

1. A. A. Oraevsky and A. A. Karabutov, "Optoacoustic tomography," in Biomedical Photonics Handbook, T. Vo-Dinh, Ed. Boca Raton, FL: CRC, 2003.
2. M. Xu and L. V. Wang, "Biomedical photoacoustics," Rev. Sci. In-strum., vol.77, no.041101, 2006.
3. A. C. Tam, "Application of photo-acoustic sensing techniques," Rev. Mod. Phys., vol.58, pp. 381-431, 1986.
4. R. Esenaliev, A. A. Karabutov, and A. A. Oraevsky, "Sensitivity of laser opto-acoustic imaging in detection of small deeply embedded tumors," IEEE J. Sel. Top. Quant., vol.5, pp. 981-988, Jul./Aug. 1999.
5. R. Zemp, R. Bitton, M. Li, K. K. Shung, G. Stoica, and L. V. Wang, "Photoacoustic imaging of the microvasculature with a high-frequency ultrasound array transducer," J. Biomed. Opt., vol.12, p. 010501, 2007.
6. X. Wang, Y. Pang, G. Ku, X. Xie, G. Stoica, and L. V. Wang, "Non-invasive laser-induced photo-acoustic tomography of the brain in vivo: Structural and functional neuroimaging," Nature Biotechnol., vol.21, p. 803, 2003.
7. L. Li, R. Zemp, G. Lungu, G. Stoica, and L. V. Wang, "Photoacoustic imaging of gene lacz expression in living mice," J. Biomed. Opt., vol.12, p. 020504, 2007.
8. Y. Wang, X. Xie, X. Wang, G. Ku, K. L. Gill, D. P. ONeal, G. Stoica, and L. V. Wang, "Photoacoustic tomography of a nanoshell contrast agent in the in vivo rat brain," Nano Lett., vol.4, pp. 1689-1692, 2004. (Pubitemid 39297446)
9. R. A. Kruger, W. L. Kiser, D. R. Reinecke, G. A. Kruger, and K. D. Miller, "Thermoacoustic optical molecular imaging of small animals," Molec. Imag., vol.2, pp. 113-123, 2003.
10. L. A. Kunyansky, "Explicit inversion formulae for the spherical mean radon transform," Inv. Probl., vol.23, pp. 373-383, 2007.
11. D. Finch, M. Haltmeier, and Rakesh, "Inversion of spherical means and the wave equation in even dimensions," SIAM J. Appl. Math., vol.68, no.2, pp. 392-412, 2007.
12. Y. Xu and L. V. Wang, "Universal back-projection algorithm for pho-toacoustic computed tomography," Phys. Rev. E, vol.71, no.016706, 2005.
13. D. Finch, S. Patch, and Rakesh, "Determining a function from its mean values over a family of spheres," SIAM J. Math. Anal., vol.35, pp. 1213-1240, 2004.
14. Y. Xu, D. Feng, and L. V. Wang, "Exact frequency-domain reconstruction for thermoacoustic tomography: I. Planar geometry," IEEE Trans. Med. Imag., vol.21, no.7, pp. 823-828, Jul. 2002. (Pubitemid 35250495)
15. M. A. Anastasio, J. Zhang, X. Pan, Y. Zou, G. Keng, and L. V. Wang, "Half-time image reconstruction in thermoacoustic tomography," IEEE Trans. Med. Imag., vol.24, no.2, pp. 199-210, Feb. 2005.
16. M. A. Anastasio, J. Zhang, E. Y. Sidky, Y. Zou, D. Xia, and X. Pan, "Feasibility of half-data image reconstruction in 3D reflectivity tomography with a spherical aperture," IEEE Trans. Med. Imag., vol.24, no.2, pp. 1100-1112, Feb. 2005.
17. X. Pan, Y. Zou, and M. A. Anastasio, "Data redundancy and reduced-scan reconstruction in reflectivity tomography," IEEE Trans. Image Process., vol.12, no.7, pp. 784-795, Jul. 2003.
18. P. Ephrat, L. Keenliside, A. Seabrook, F. S. Prato, and J. J. L. Carson, "Three-dimensional photoacoustic imaging by sparse-array detection and iterative image reconstruction," J. Biomed. Opt. vol.13, no.5, p. 054052, 2008 [Online]. Available: http://link.aip.org/link/?JBO/13/ 054052/1
19. G. Paltauf, J. Viator, S. Prahl, and S. Jacques, "Iterative reconstruction algorithm for optoacoustic imaging," J. Acoust. Soc. Amer., vol.112, pp. 1536-1544, 2002.
20. R. A. Kruger, P. Liu, R. Fang, and C. Appledorn, "Photoacoustic ultrasound (PAUS) reconstruction tomography," Med. Phys., vol.22, pp. 1605-1609, 1995.
21. F. Natterer, The Mathematics of Computerized Tomography. New York: Wiley, 1986.
22. P. M. Morse and K. U. Ingard, Theoretical Acoustics. Princeton, NJ: Princeton Univ. Press, 1986.
23. S. Norton and M. Linzer, "Ultrasonic reflectivity imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical, and spherical apertures," IEEE Trans. Biomed. Eng., vol.28, no.2, pp. 202-220, Feb. 1981.
24. J. A. Fessler and S. D. Booth, "Conjugate-gradient preconditioning methods for shift-variant PET image reconstruction," IEEE Trans. Image Process., vol.8, no.5, pp. 688-699, May 1999.
25. N. H. Clinthorne, T. Pan, P.-C. Chiao, W. L. Rogers, and J. A. Stamos, "Preconditioning methods for improved convergence rate in iterative reconstructions," IEEE Trans. Med. Imag., vol.12, no.1, pp. 78-83, Mar. 1993.
26. G. Chinn and S. Huang, "A fast preconditioned conjugate gradient algorithm for regularized WLS reconstruction for PET," in Nucl. Sci. Symp. Med. Imag. Conf. Rec., 1995.
27. J. A. Fessler, "Penalized weighted least-squares reconstruction for positron emission tomography," IEEE Trans. Med. Imag., vol.13, no.2, pp. 290-300, 1994.
28. G. H. Golub and C. F. V. Loan, Matrix Computations. Baltimore, MD: John Hopkins Univ. Press, 1996.
29. M. Bertero and P. Boccacci, Inverse Problems in Imaging. Bristol, U.K.: Inst. Physics, 1998.
30. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York: IEEE Press, 1988.
31. S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Re-cepies in C. Cambridge, U.K.: WH Press, 1988.
32. P. J. La Rivière, "Penalized-likelihood sinogram smoothing for low-dose CT," Med. Phys., vol.32, pp. 1676-1683, 2005.
33. M. Xu and L. V. Wang, "Time-domain reconstruction for thermoa-coustic tomography in a spherical geometry," IEEE Trans. Med. Imag., vol.21, no.7, pp. 814-822, Jul. 2002. (Pubitemid 35250494)
34. G. Ku, X. Wang, G. Stoica, and L. V. Wang, "Multiple-bandwidth photoacoustic tomography," Phys. Med. Biol., vol.49, pp. 1329-1338, 2004.
35. Y. Xu and L. V. Wang, "Rhesus monkey imaging through intact skull with thermoacoustic tomography," IEEE Trans. Ultrason. Ferroelect., vol.53, no.3, pp. 542-548, Mar. 2006.
36. J. Zhang, D. Shi, M. A. Anastasio, J. Sillanpaa, and J. Chang, "Weighted expectation maximization reconstruction algorithms with application to gated megavoltage tomography," Phys. Med. Biol., vol.50, pp. 299-307, 2005.